3/x=9/2x

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Solution for 3/x=9/2x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

3/x = (9/2)*x // - (9/2)*x

3/x-((9/2)*x) = 0

(-9/2)*x+3/x = 0

3*x^-1-9/2*x^1 = 0

(3*x^0-9/2*x^2)/(x^1) = 0 // * x^2

x^1*(3*x^0-9/2*x^2) = 0

x^1

(-9/2)*x^2+3 = 0

(-9/2)*x^2+3 = 0

DELTA = 0^2-(3*4*(-9/2))

DELTA = 54

DELTA > 0

x = (54^(1/2)+0)/(2*(-9/2)) or x = (0-54^(1/2))/(2*(-9/2))

x = (-6^(1/2))/3 or x = (1*6^(1/2))/3

x in { (-6^(1/2))/3, (1*6^(1/2))/3} 

x in { (-6^(1/2))/3, (1*6^(1/2))/3 }

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